A builder cuts a 6 m rope into four pieces. Three of the pieces measure 1.2 m, 1.5 m, and 2.7 m. What is the length of the remaining piece?

Rationale

The length of the remaining piece is 0.6 m.

To find the length of the remaining piece, we subtract the lengths of the three known pieces from the total length of the rope. Adding 1.2 m, 1.5 m, and 2.7 m gives us 5.4 m, and subtracting this from the original 6 m results in a remaining piece of 0.6 m.

A (0.6 m) CORRECT

This choice correctly reflects the calculation of the remaining length. By summing the lengths of the three pieces (1.2 m + 1.5 m + 2.7 m = 5.4 m) and subtracting from the total rope length (6 m - 5.4 m = 0.6 m), we find that the length of the remaining piece is indeed 0.6 m.

B (6 m) YOUR ANSWER

This option mistakenly suggests that the remaining piece is the same length as the original rope. Since the rope has already been cut into four pieces, it cannot remain at its original length of 6 m. This choice does not take into account the lengths of the other pieces that have been cut.

C (60 m) YOUR ANSWER

This choice is incorrect because it presents an implausible length far exceeding the total of the original rope. The builder is working with a 6 m rope, and there is no scenario in which a single piece could measure 60 m after cutting the rope into smaller sections.

D (600 m) YOUR ANSWER

Similar to option C, this choice also presents an unrealistic length that is not possible given the original 6 m rope. It completely disregards the context and constraints of the problem, making it an invalid option.

Conclusion

In this problem, the calculation of the remaining piece of rope is straightforward: by summing the lengths of the cut pieces and subtracting from the total length, we determine that the remaining piece measures 0.6 m. The other options do not reflect accurate reasoning or calculations based on the given lengths and total.

A builder cuts a 6 m rope into four pieces. Three of the pieces measure 1.2 m, 1.5 m, and 2.7 m. What is the length of the remaining piece?

The length of the remaining piece is 0.6 m.

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